Dear Lars, I wish you the best. Get well soon!!
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The File: https://docs.wixstatic.com/ugd/287ba5_9809e0bcf44548b79263bf7e0c70ad17.pdf
100 integral, iPhone view: https://youtu.be/bB_xH-gA9vo
Yes, in this video, I did 100 calc1 and calc 2 integrals in one take (uncut, with a total of a bit under 6 hours)! These integrals can help you become an integration master in your classes!
Techniques Required: Know Your Derivatives, Reversed Power Rule, U sub, Trig Sub, Partial Fractions, Integration by Parts (DI Method), Completing the Square, Hyperbolic Trig Functions, Even & Odd Properties of Integrals, Geometric Interpretation of Integrals, Endurance, Will Power, and Be Good with Integrals!!!
Thanks to everyone who pointed out the mistakes! Here are the time stampes
@ 33:39 should be a du, NOT dx
@ 1:52:05 -2 times 2 equals -4, NOT -1
@ 3:32:30 2*(1/2)*(1/2) = 1/2, NOT 1
@ 5:16:56 MUST use absolute value since sqrt(x+4)-2 could be neg
Here are some of my favorite integrals:
Q3 Integral of (x^2+1)/(x^4-x^2+1), 8:00
Q8 Integral of e^x*sqrt(e^x-1)/(e^x+3), 25:51
Q26 integral of cos(sqrt x) 1:29:48
Q40 Integral of sqrt(x^2-1) from 1 to 2, 2:19:38
Q54, Integral of 1/(x^4 + x), 3:00:42 *no need for partial fraction*
Q67, Integral of 2^ln(x), 3:58:06
Q97, Integral of 1/(1 + e^x), 5:27:47
Q100, Integral of 1/(1 + sin(x) from 0 to π/2, 5:39:16
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Be sure to also check out:
Oon Han: Walli's Integral https://youtu.be/tVz7rBYt4es
Fematika: Integral of x^x from 0 to 1, https://youtu.be/9wQfSBmUz3g
Dr. Peyam: Vardi's Integral https://youtu.be/W2QFhyC_BQ8
Max, Everybody's First Integral, https://youtu.be/W-jtly4izS8
blackpenredpen,
Math For fun
March 1st, 2019